Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling | Zendy

Banks H.T. | Zendy; Luke N.S. | Zendy; Samuels J.R. | Zendy

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Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling

Author(s) -

Banks H.T.,

Luke N.S.,

Samuels J.R.

Publication year - 2007

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20250

Subject(s) - viscoelasticity , polymer , phenomenological model , constitutive equation , mathematics , statistical physics , classical mechanics , mechanics , materials science , physics , thermodynamics , finite element method , composite material , statistics

We report on two recent advances in the modeling of viscoelastic polymers: (i) a new constitutive model that combines the virtual stick‐slip continuum “molecular‐based” ideas of Johnson and Stacer with the Rouse bead chain ideas; (ii) a two‐dimensional version of a model that accounts for stenosis‐driven shear wave propagation in biotissue. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 817–831, 2007

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